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Pré-Publication, Document De Travail Année : 2021

Existence of a quadratic polynomial, which represents infinitely many prime numbers

Valerii Sopin

Résumé

No single case of Bunyakovsky's conjecture for degree greater than one has been proved, although numerical evidence in higher degree is consistent with the conjecture. In this paper we overcome such misfortune.
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Dates et versions

hal-03434393 , version 1 (18-11-2021)
hal-03434393 , version 2 (29-11-2021)
hal-03434393 , version 3 (06-12-2021)
hal-03434393 , version 4 (15-11-2023)
hal-03434393 , version 5 (20-11-2023)

Identifiants

Citer

Valerii Sopin. Existence of a quadratic polynomial, which represents infinitely many prime numbers: Bunyakovsky's conjecture for degree greater than one and the 4th Landau problem. 2021. ⟨hal-03434393v3⟩
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